Use software to test the null hypothesis of whether there is a relationship betw
ID: 3159872 • Letter: U
Question
Use software to test the null hypothesis of whether there is a relationship between the two classifications, A and B, of the 3 times 3 contingency table shown below. Test using a = 0.05. You may do this by hand, but it will take a bit of time. Find the degrees of freedom. Find the critical value, x^2 = The final conclusion is We can reject the null hypothesis that A and B are not related and accept that there seems to be a relationship between A and B. There is not sufficient evidence to reject the null hypothesis that there is no relationship between A and B.Explanation / Answer
a)
Doing an Expected Value Chart,
68.5773913 68.94608696 74.47652174
59.19652174 59.51478261 64.28869565
58.22608696 58.53913043 63.23478261
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 12.33692853 [ANSWER]
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b)
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,
a = 3
b = 3
df = 4 [ANSWER]
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c)
Thus, the critical value is
significance level = 0.05
chi^2(critical) = 9.487729037 [ANSWER]
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d)
As chi^2 > 9,488, we REJECT THE NULL HYPOTHESIS. [OPTION A]
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